8 n=1 (−1)n-¹ 3 + 5n

Q: 00 13Σ (x – 1)* k k = 0

A: Recall: Ratio test

Q: 2! .2 x. 3!3 5. 1+ 4! 2 32 3 4 54 + ... ∞

A: Given series is 1+x2+2!32x2+3!43x3+4!54x4+····

Q: Two similar-looking series are given. Test each one for convergence or divergence. (a) W O…

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Q: 11. g 13. F(r) = 3 r

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Q: For the following power series find the interval and radius of convergence.

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Q: Test the convergence of the following series: n2 n=1

A: We can use root test to check convergence of this series.

Q: the infinite series ? Check all that apply. n=1

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Q: Show the following series is conditionally convergent. -(-1)"

A: Given series is ∑n=1∞(-1)nn12 we have to the series is conditionally convergent.

Q: Test the series for convergence or divergence. − 2/3 + 4/4 − 6/5 + 8/6 − 10/7 +...

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Q: Test the following series for convergence or divergence. Justify your reasoning. (a) E n=0 (b) V3 –…

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Q: 1 c) Em=isin (3) 15+1 d) _E=1; (n+3)! (1948). e) Σ=1 (2m3+5)

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Q: 3n n=1 n!

A: Explanation of the answer is as follows